Chapter B, Problem 12P

a)

Summary Introduction

To graph: The feasible region and determine the optimal solution.

Introduction:

Linear programming:

It is a linear optimization technique followed to develop the best outcome for the linear programming problem. The outcome might be to maximize profit, minimize cost, or to determine the optimal product mix. The outcome will take the constraints present in achieving the solution into consideration.

Feasible region:

A feasible region is a solution space which contains all the possible points of an optimization problem. The region will be formed after satisfying the constraints in the problem which includes inequalities and integer constraints. It is the area that is bounded by the constraints of the problem.

b)

Summary Introduction

To determine: The total cost of the optimal solution.